Topologies generated by porosity and maximal additive and multiplicative families for porouscontinuous functions

被引：5
|
作者：
Kowalczyk, Stanislaw [1 ]
Turowska, Malgorzata [1 ]
机构：
[1] Pomeranian Univ Slupsk, Inst Math, Kozietulskiego 6-7, PL-76200 Slupsk, Poland
来源：
TOPOLOGY AND ITS APPLICATIONS | 2018年 / 239卷
关键词：
Porosity; Strong porosity; Porouscontinuity; Maximal classes; Topology generated by porosity;
D O I：
10.1016/j.topol.2018.02.010
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
L. Zajicek in 1986 and V. Kelar in 1990 defined topologies p and s generated by the notions of porosity and strong porosity. Applying these notions, we described maximal additive classes for porouscontinuous functions S-0, M-1 and P-0 defined by J. Borsfk and J. Holos in 2014. Furthermore, we defined new family of topologies generated by porosity and strong porosity, which are used to studying maximal multiplicative classes for porouscontinuous functions S-0 and M-1. Some other properties of superporosity and strong superporosity are considered. (C) 2018 Elsevier B.V. All rights reserved.
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页码：1 / 13
页数：13
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